The Fermi-Pasta-Ulam 'numerical experiment': History and pedagogical perspectives

European Journal of Physics

Volumn 26, Issue 5, 2005, Pages

  Dauxois, Thierry ^a   Peyrard, Michel ^a   Ruffo, Stefano ^a,b  

^a Laboratoire de Physique UMR CNRS ENSL   (France)

^b UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; MATHEMATICAL MODELS; PERSONAL COMPUTERS; PHASE EQUILIBRIA; THERMAL EFFECTS;

FERMI-PASTA-ULAM (FPU) NUMERICAL EXPERIMENTS; IRROTATIONAL; MARIANA TRENCH; THERMALIZATION PROCESS;

FERMI LEVEL;

EID: 23844490767     PISSN: 01430807     EISSN: 01430807     Source Type: Journal    
DOI: 10.1088/0143-0807/26/5/S01     Document Type: Article

References (28)

1. Fermi E, Pasta J and Ulam S 1955 Los Alamos Report LA-1940 published later in
2. Fermi E, Pasta J and Ulam S 1965 Collected Papers of Enrico Fermi ed E Segré (Chicago, IL: University of Chicago Press)
3. Ulam S M 1976 Adventures of a Mathematician (New York: Charles Scribner's Son)
4. Scholl D S 1990 Phys. Lett. A 149 253
5. Metropolis N 1992 Daedalus 121 119-30
6. Jensen P and Blase X 2002 La matière fantôme La Recherche 352 40
7. Ford J 1961 J. Math. Phys. 2 387-93
8. Kolmogorov A N 1954 Akad. Nauk. SSSR Dokl. 98 527
9. Moser J 1962 Nachr. Akad. Wiss. Goett. II. Math. Phys. Kl. 2 1
10. Arnold V I 1963 Russ. Math. Surv. 18 85
11. Izrailev F M and Chirikov B V 1966 Sov. Phys. Dokl. 11 30
12. Livi R, Pettini M, Ruffo S, Sparpaglione M and Vulpiani A 1985 Phys. Rev. A 28 3544
13. Zabusky N J and Kruskal M D 1965 Phys. Rev. Lett. 15 240-3
14. Dauxois T and Peyrard M 2005 Physics of Solitons (Cambridge: Cambridge University Press)
15. Korteweg D J and de Vries G 1895 Phil. Mag. 36 422-43
16. Ford J 1992 Phys. Rep. 213 271
17. Weissert T P 1997 The Genesis of Simulation in Dynamics: Pursuing the Fermi-Pasta-Ulam Problem (Berlin: Springer)
18. 2005 Focus issue: The Fermi-Pasta-Ulam problem-the first 50 years Chaos 15 (no 1) 015101-015121
19. Toda M 1967 J. Phys. Soc. Japan 22 431-6
20. Saito N and Hirooka H 1967 J. Phys. Soc. Japan 23 157-66
21. Saito N and Hirooka H 1967 J. Phys. Soc. Japan 23 167-71
22. Toda M 1978 Theory of Nonlinear Lattices (Berlin: Springer)
23. Lin C Y, Cho S N, Goedde C G and Lichter S 1999 Phys. Rev. Lett. 82 259
24. Zabusky N J and Deem G S 1967 J. Comput. Phys. 2 126
25. Poincaré H 1890 Acta Math. 13 1
26. Hemmer P C, Maximon L C and Wergerland H 1958 Phys. Rev. 111 689
27. 1992 Focus issue: The coupled map lattices Chaos 2 (no 3) 279-460
28. Wolfram S 1983 Rev. Mod. Phys. 55 601